Minimum and maximum ratio of number of red internal nodes to black internal nodes in Red Black tree

A note on the largest number of red nodes in red-black trees

In this paper, we are interested in the number of red nodes in red-black trees. We first present an O(n logn) time dynamic programming solution for computing r(n), the largest number of red internal nodes in a red-black tree on n keys. Then the algorithm is improved to some O(logn) time recursive and nonrecursive algorithms. Based on these improved algorithms we finally find a closed-form solut...

A concurrent red-black tree

determination of some physical and mechanical properties red bean

چکیده: در این تحقیق، برخی خواص فیزیکی و مکانیکی لوبیا قرمز به-صورت تابعی از محتوی رطوبت بررسی شد. نتایج نشان داد که رطوبت بر خواص فیزیکی لوبیا قرمز شامل طول، عرض، ضخامت، قطر متوسط هندسی، قطر متوسط حسابی، سطح تصویر شده، حجم، چگالی توده، تخلخل، وزن هزار دانه و زاویه ی استقرار استاتیکی در سطح احتمال 1 درصد اثر معنی داری دارد. به طوری که با افزایش رطوبت از 54/7 به 12 درصد بر پایه خشک طول، عرض، ضخام...

Deletion: The curse of the red-black tree

Okasaki introduced the canonical formulation of functional red-black trees when he gave a concise, elegant method of persistent element insertion. Persistent element deletion, on the other hand, has not enjoyed the same treatment. For this reason, many functional implementations simply omit persistent deletion. Those that include deletion typically take one of two approaches. The morecommon app...

The Performance of Concurrent Red-Black Tree Algorithms

Relaxed balancing has become a commonly used concept in the design of concurrent search tree algorithms. The idea of relaxed balancing is to uncouple the rebalancing from the updating in order to speed up the update operations and to allow a high degree of concurrency. Many di erent relaxed balancing algorithms have been proposed, especially for red-black trees and AVL trees, but their performa...